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Accepted Manuscript: A simple approximation for the current-voltage characteristics of high-power, relativistic diodes

Title: A simple approximation for the current-voltage characteristics of high-power, relativistic diodes

A simple approximation for the current-voltage characteristics of a relativistic electron diode is presented. The approximation is accurate from non-relativistic through relativistic electron energies. Although it is empirically developed, it has many of the fundamental properties of the exact diode solutions. Lastly, the approximation is simple enough to be remembered and worked on almost any pocket calculator, so it has proven to be quite useful on the laboratory floor.